Question

Solve for x.-3x - 8 =10

Answer 1

Given the expression:

`-3x-8=10`

to solve for x, first we have to move the constant -8 to the right side of the equation. By doing this, the constant will change its sign when it's on the other side:

`\begin{gathered} -3x-8=10 \\ \Rightarrow-3x=10+8=18 \\ \Rightarrow-3x=18 \end{gathered}`

Now, we need to move the -3 to the right side. Since it is multiplying the variable x, we need to move it to the other side doing its opposite operation: the division:

`\begin{gathered} -3x=18 \\ \Rightarrow x=(18)/(-3) \end{gathered}`

notice that we have a division of a positive number by a negative number, then the result will be a negative number as well:

`\begin{gathered} x=(18)/(-3)=-6 \\ x=-6 \end{gathered}`

therefore x=-6